A Cauchy kernel for the Hermitian submonogenic system

DOI10.1002/mana.201500451zbMath1406.30016arXiv1601.05942OpenAlexW2964229471MaRDI QIDQ2965302

Fabrizio Colombo, Dixan Peña Peña, Fransiscus Sommen

Publication date: 2 March 2017

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.05942

zbMATH Keywords

plane wavesCauchy kernelFunk-Hecke's formulaHermitian submonogenic system

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26)

Related Items

Polynomial solutions of the Hermitian submonogenic system

Cites Work

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• Special functions and systems in Hermitian Clifford analysis: Higher codimension
• Fundaments of Hermitean Clifford analysis part II: splitting ofh-monogenic equations